Superquadrics are a family of geometric shapes defined by

|x/A|^r+|y/B|^s+|z/C|^t=1

I have two superquadratics, namely SQ1 and SQ2, with parameters {A1,B1,C1,r1,s1,t1} and {A2,B2,C2,r2,s2,t2}, respectively. The volumes of these superquadratics are equal, V1=V2. I am looking for a way to map SQ1 to SQ2. For example, if they were two ellipsoids, I could use affine transformation to map one ellipsoid to the other one.

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